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Finding the Third Proportional to 20,261.81 and 32,555.06

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Solution

The third proportional to 20,261.81 and 32,555.06 is: 52,306.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,261.81 : 32,555.06 = 32,555.06 : x
  2. Step 2: Convert to fraction form
    20,261.81/32,555.06 = 32,555.06/x
  3. Step 3: Cross multiply
    20,261.81x = 32,555.06 × 32,555.06
  4. Step 4: Simplify right side
    20,261.81x = 1,059,832,094.38
  5. Step 5: Solve for x
    x = 1,059,832,094.38/20,261.81
  6. Step 6: Final answer
    x = 52,306.88

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.